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Finding the Fourth Proportional to 172.25, 258.51 and 91.12

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Solution

The fourth proportional to 172.25, 258.51 and 91.12 is: 136.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.25 : 258.51 = 91.12 : x
  2. Step 2: Convert to fraction form
    172.25/258.51 = 91.12/x
  3. Step 3: Cross multiply
    172.25x = 258.51 × 91.12
  4. Step 4: Simplify right side
    172.25x = 23,555.43
  5. Step 5: Solve for x
    x = 23,555.43/172.25
  6. Step 6: Final answer
    x = 136.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.